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In mathematics, the Bell triangle is a triangle of numbers analogous to Pascal's triangle, whose values count partitions of a set in which a given element is the largest singleton. It is named for its close connection to the Bell numbers , [ 1 ] which may be found on both sides of the triangle, and which are in turn named after Eric Temple Bell .
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The Bell numbers can easily be calculated by creating the so-called Bell triangle, also called Aitken's array or the Peirce triangle after Alexander Aitken and Charles Sanders Peirce. [ 6 ] Start with the number one.
Eulerian number; Floyd's triangle; Lozanić's triangle; Narayana number; Pascal's triangle; Rencontres numbers; Romberg's method; Stirling numbers of the first kind; Stirling numbers of the second kind; Triangular number; Triangular pyramidal number; The (incomplete) Bell polynomials from a triangular array of polynomials (see also Polynomial ...
Inverted bell; Kite; Lecotropal, in botany, shaped like a horseshoe (see horseshoe-shaped, above). From Greek λέκος dish + -τροπος turning [5] [6] [7] Lens or Vesica shape (the latter taking its name from the shape of the lentil seed); see also mandorla, almond-shaped; Lune, from the Latin word for the Moon; Maltese Cross curve [8]
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A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number , other examples being square numbers and cube numbers . The n th triangular number is the number of dots in the triangular arrangement with n dots on each side, and is equal to the sum of the n natural ...